224907840 has 140 divisors (see below), whose sum is σ = 800128956. Its totient is φ = 59968512.

The previous prime is 224907833. The next prime is 224907857. The reversal of 224907840 is 48709422.

It can be written as a sum of positive squares in 2 ways, for example, as 69755904 + 155151936 = 8352^2 + 12456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224907795 and 224907804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21582 + ... + 30258.

Almost surely, 2^224907840 is an apocalyptic number.

224907840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400064478).

224907840 is an abundant number, since it is smaller than the sum of its proper divisors (575221116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224907840 is an equidigital number, since it uses as much as digits as its factorization.

224907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 224907840 is about 14996.9276853628. The cubic root of 224907840 is about 608.1371458855.

The spelling of 224907840 in words is "two hundred twenty-four million, nine hundred seven thousand, eight hundred forty".